obeying \(\left[ {K _0 ,K _ \pm } \right] = \pm K _ \pm \)  and \(\left[ {K_ - ,K_ + } \right] = K_0 \) , and the \(U\left(1\right)\)  symmetry is generated by \( \partial _\phi \) . Interestingly, we find that the presence of NUT parameter \(l\)  does not break the \(SL\left(2,{\mathbb {R}}\right)\times U\left(1\right)\)  isometry of the near horizon geometry of a magnetized Reissner-Nordstrom black hole [1]}. Furthermore, this isometry is the hint that the Kerr/CFT prescription to recover the entropy of extremal black hole should apply also to the MRNTN case.
